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Simplifying 0.4(x + 200) = 0.48x + -544 Reorder the terms: 0.4(200 + x) = 0.48x + -544 (200 * 0.4 + x * 0.4) = 0.48x + -544 (80 + 0.4x) = 0.48x + -544 Reorder the terms: 80 + 0.4x = -544 + 0.48x Solving 80 + 0.4x = -544 + 0.48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.48x' to each side of the equation. 80 + 0.4x + -0.48x = -544 + 0.48x + -0.48x Combine like terms: 0.4x + -0.48x = -0.08x 80 + -0.08x = -544 + 0.48x + -0.48x Combine like terms: 0.48x + -0.48x = 0.00 80 + -0.08x = -544 + 0.00 80 + -0.08x = -544 Add '-80' to each side of the equation. 80 + -80 + -0.08x = -544 + -80 Combine like terms: 80 + -80 = 0 0 + -0.08x = -544 + -80 -0.08x = -544 + -80 Combine like terms: -544 + -80 = -624 -0.08x = -624 Divide each side by '-0.08'. x = 7800 Simplifying x = 7800
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